Miette is a character in a French Film, City of Lost Children, which is where my husband fell in love with it.
My mother was introduced to the Swiss Alps by a young relative named Miette. Her "Sound of Music"-like adventure inspired her to name her first daughter Miette.

French Name meaning Small Sweet Thing, ie: crumb or pastry.
Literally: a small piece of the "pan de mie" or the tender, sweet, center part of french bread. It is used as a diminutive for little girls sometimes, but is also an archaic (old-fashioned) french name.